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26140780 = 2254171449
BaseRepresentation
bin110001110111…
…0000001101100
31211012002102001
41203232001230
523143001110
62332142044
7435123121
oct143560154
954162361
1026140780
1113834a56
128907924
135553523
143686748
15246563a
hex18ee06c

26140780 has 48 divisors (see below), whose sum is σ = 57153600. Its totient is φ = 10035200.

The previous prime is 26140733. The next prime is 26140783. The reversal of 26140780 is 8704162.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26140783) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57996 + ... + 58444.

It is an arithmetic number, because the mean of its divisors is an integer number (1190700).

Almost surely, 226140780 is an apocalyptic number.

26140780 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26140780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28576800).

26140780 is an abundant number, since it is smaller than the sum of its proper divisors (31012820).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

26140780 is a wasteful number, since it uses less digits than its factorization.

26140780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 570 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 26140780 is about 5112.8054920953. The cubic root of 26140780 is about 296.7833372414.

It can be divided in two parts, 261 and 40780, that added together give a triangular number (41041 = T286).

The spelling of 26140780 in words is "twenty-six million, one hundred forty thousand, seven hundred eighty".

Divisors: 1 2 4 5 10 20 41 71 82 142 164 205 284 355 410 449 710 820 898 1420 1796 2245 2911 4490 5822 8980 11644 14555 18409 29110 31879 36818 58220 63758 73636 92045 127516 159395 184090 318790 368180 637580 1307039 2614078 5228156 6535195 13070390 26140780